Recent content by STEMucator

I agree with the solution provided by Mark, and eto. I was providing a hint that related with the link the OP provided.

I would double check your math, but please review my prior post. I feel my notation was somewhat unclear before, and maybe the information will help. Given ##x_L = 0##, and ##x_H = T##, can you create a standard differential equation that you can compute using this hint?

The equation for the tangent line is: $$y - y_n = m(x - x_n)$$ ##m = \frac{dy}{dx}## is the slope, and ##P_n = (x_n, y_n)## is the point. Also note the midpoint formula: $$(x_n, y_n) = (\frac{x_L + x_H}{2}, \frac{y_L + y_H}{2})$$ $$(x_n, 0) = (\frac{x_L + x_H}{2}, 0)$$ You know ##y_n = 0...

An insulator surrounds the wire that the current is flowing through. The electric field emanating from the capacitor would not affect the wire inside the insulation.

Concepts are equal if you go to university A, or B. The definition of the derivative of a function won't change. You shouldn’t care about the school you choose because you can still can be the best you can be. Don’t worry about popularity rankings, worry about improving yourself every day by...

Integrate all the remaining terms, and you get a sum of antiderivatives that subtract from the other terms. I still dislike how we use X for multiplication, and cross product every time I see it, sorry for the confusion.

Check the screenshot I attached:

The problem statement is not given properly. Can you provide us proper details? If you are computing: $$\int v \frac{d^2v}{dt^2} dt$$ You mentioned ##dv = b(t) dt##, and then computed ##v##: $$v = \frac{dv}{dt}$$ You know this is inherently not correct, unless the function is specifically...

When you connect an appropriate energy source, each series capacitor will store instantaneous charge. The charge for each capacitor is equal for every series capacitor if the capacitance for each capacitor is equal. A single equivalent capacitor ##\frac{1}{Ceq}## will have a larger plate...

There is a typo in equation ##(1)##. If I understand correctly you meant to write ##\alpha_d## not ##a_d##. Equation ##(1)## has the form of a Riccati equation: $$\frac{dN_e(t)}{dt} = p(t) - \alpha_d N_e^2(t)$$ $$y'(t) = p(t) + g(t)y(t) + f(t)y^2(t)$$ Where ##N_e(t) = y(t)##, ##p(t) =...

I did some research and I found these important facts: - Designing a conventional CMOS circuit means a PMOS pull-up network and an NMOS pull-down network must be constructed. - The PMOS pull-up network and NMOS pull-down network must be complements of each other. - The PMOS network must have...

Homework Statement This question has several parts, and I'm confused about some of them. Consider ##Z = \overline{(A + B \bar{C})D + E \bar{F}}##. Assume primary and inverted inputs are available. A) Implement the function in conventional CMOS logic style such that only 4 transistors are...

In general: $$\iint_S f(x, y, z) \space dS = \iint_D f(\vec r(u, v)) |\vec r_u \times \vec r_v| \space dA$$ For this particular problem we can adapt the notation: $$\iint_S u(x, y, z) \space dS = \iint_D u(\vec r(\theta, \phi)) |\vec r_{\theta} \times \vec r_{\phi}| \space dA$$ You need to...

##Q## is the event a Q is dealt, ##3## is the event a 3 is dealt, etc. I assume the leftmost event in an intersection is the latest event to occur because I want to keep things consistent. So when computing ##P(Q \cap 9)##, I assume the queen is the last card dealt during the event, and I read...

I feel as if I may have been unclear at some points in this thread. Particularly the title. I'm trying to compute the probability of a large intersection of events using the rule: $$P(A \cap B) = P(A|B){P(B)}$$ If we did know all of the cards, we could compute the probability precisely with...